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Grade Select GradeAlgebra

Solution set of the inequality 5x+2> (1/25)1/x is?
Give the answer in briefy........

Profile image of Krina Ashwinbhai Limbachiya
7 Years agoGrade Select Grade
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1 Answer

Profile image of Arun
7 Years ago
Dear student
 
5^(x +2) > 5^(-2/x)
 
hence
 
x + 2 > – 2/x
 
x +2 + 2/x > 0
 
(x^2 + 2x + 2 )/x > 0
 
as x^2 + 2x + 2 is always positive
hence x> 0